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Finding the Fourth Proportional to 271,105.29, 406,769.46 and 119,224.20

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Solution

The fourth proportional to 271,105.29, 406,769.46 and 119,224.20 is: 178,885.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,105.29 : 406,769.46 = 119,224.20 : x
  2. Step 2: Convert to fraction form
    271,105.29/406,769.46 = 119,224.20/x
  3. Step 3: Cross multiply
    271,105.29x = 406,769.46 × 119,224.20
  4. Step 4: Simplify right side
    271,105.29x = 48,496,763,452.93
  5. Step 5: Solve for x
    x = 48,496,763,452.93/271,105.29
  6. Step 6: Final answer
    x = 178,885.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.